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Finding the Third Proportional to 245,220 and 329,535

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Solution

The third proportional to 245,220 and 329,535 is: 442,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,220 : 329,535 = 329,535 : x
  2. Step 2: Convert to fraction form
    245,220/329,535 = 329,535/x
  3. Step 3: Cross multiply
    245,220x = 329,535 × 329,535
  4. Step 4: Simplify right side
    245,220x = 108,593,316,225
  5. Step 5: Solve for x
    x = 108,593,316,225/245,220
  6. Step 6: Final answer
    x = 442,840.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.